Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
Answer:
D. survey thirty 6th grades
Step-by-step explanation:
Answer: 90% of people getting married for the first time get married before age of 31.13.
Step-by-step explanation:
Given : The average age (
) for a person getting married for the first time is 26 years (U.S. News and World Report, June 6, 1994).
We assume that the ages for first marriages have a normal distribution with a standard deviation (
) of 4 years.
Let x be the age before that 90% of people getting married for the first time get married.
From z-table , the value corresponds to p-value of 0.90 is 1.28155.
Formula : 
Hence, 90% of people getting married for the first time get married before age of 31.13.
........................I would say f of X
Frank had $19.60 dollars when he left home that morning. If you add the $5.60, $2.00, and $6.50 that he spent while he was away from home, because he had that money when he left, you get a total of $24.60. You should then subtract the $5.00 his friend gave him, since he didn't have that when he left home. This brings you to a total of $19.60, which is the amount Frank left home with.
